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Systems of Linear Equations

Learn to graph and find solutions for systems of linear equations in two variables. Covers intersection points and solution estimation. Practice using graphing calculators and online tools for better understanding.

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Systems of Linear Equations

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  1. Systems of Linear Equations Algebra 150 Ms. Wiggins 1/17/18

  2. Agenda • Do Now/ 5 minutes • EOC Pre-Assessment/ 15 minutes • Objective/ 2 minutes • Pre-Assessment/ 15 minutes • Direct Instruction/ 20 minutes • Independent Assignment/ 30 minutes • Exit Slip/ 3 minutes

  3. Objective • Students will be able to graph systems of linear equations in two variables to find an approximate solution.

  4. Pre-Assessment15 minutes • Pearsonrealize.com/Login and complete on paper.

  5. Vocabulary • Intersection • Solution of a system of linear equations • System of linear equations

  6. Essential Understanding • The intersection of the graphs of a pair of linear equations is used to estimate the solution to the system. If two lines intersect at a point, there is exactly one solution. If two lines are the same, there are infinitely many solutions. If two lines are parallel, there is no solution.

  7. Essential QuestionHow can you use a graph to illustrate a solution to a system of linear equations? • Graph the two linear equations, and wherever the equations intersect is the solution of the system.

  8. Example 1page 143 • Pearsonrealize.com • Desmos.com • Y = -2x – 4 • Y = 0.5x + 6

  9. Students Do Use a graph to solve the system of linear equations. Graphing Calculators • Y = 1/2x – 2 • Y = 3x – 7 Use a graph to solve the system of linear equations. Graphing Calculators Y = 2x + 10 Y = -1/4x + 1

  10. Example 2 • Page 144

  11. Students Do • Y = 1/2x + 7 • 4x – 8y = 12

  12. Concept Summary

  13. Independent Assignment30 minutes • Pearsonrealize.com • Do You Understand? • Do You Know How? • 4-1 Additional Practice

  14. Thursday’s Agenda1/18/18 • Do Now • Understanding Check • Review yesterdays’ assignment solutions • Notebook Anchor Charts • Gallery Walk • Review for Quiz

  15. Understanding Check • Review the solutions for independent assignment

  16. Friday’s Agenda1/19/2018 • Do Now • Mathspace.co • Review Gallery Walk Answers

  17. DOL • Students will create anchor charts for concept summary on systems of linear equations using a problem from independent assignment.

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